Different Schemes of Neutrino Oscillations in Mössbauer Neutrino Experiment

We comment on the paper ”On application of the time-energy uncertainty relation to Mössbauer neutrino experiments” (see arXiv: 0803.1424) in which our paper ”Time-energy uncertainty relations for neutrino oscillation and Mössbauer neutrino experiment” (see arXiv: 0803.0527) has been criticized. We argue that this critique is a result of misinterpretation: The authors of (arXiv: 0803.1424) do not take into account (or do not accept) the fact that at present there exist different schemes of neutrino oscillations which can not be distinguished in usual neutrino oscillation experiments. We stress that a recently proposed Mössbauer neutrino experiment provides the unique possibility to discriminate basically different approaches to oscillations of flavor neutrinos. Recently Akhmedov et al. published a paper in the arXiv ”On application of the time-energy uncertainty relation to Mössbauer neutrino experiments” [1] in which they criticize our arXiv paper ”Time-energy uncertainty relations for neutrino oscillation and Mössbauer neutrino experiment”[2]. In this arXiv paper we showed that the time-energy uncertainty relation does not allow neutrino oscillations in the Mössbauer neutrino experiment proposed in [3] and [4] for the case of evolution of the neutrino state in time. We comment here on the paper by Akhmedov et al. [1]. 1. The authors of [1] write ”...the conclusions of [2] are in conflict with the results of our recent detailed quantum field theoretical calculation ...” [5]. This is not the case. We are considering different schemes of neutrino oscillations. The standard theory of neutrino oscillations in vacuum is based on the notion of mixed flavor neutrino states |νe〉, |νμ〉, |ντ〉.